algebra
Custom operation — AMC & AIME Problems
49 problems
Practice every real AMC 8, AMC 10, AMC 12, and AIME problem that uses Custom operation — a algebra concept — each with a professionally curated solution, many with a video solution too, from LIVE by Po-Shen Loh. Browse all concepts or the full past-contest archive.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
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These problems’ difficulty ratings come from real solve attempts on our platform. Tap a band or a contest to filter the list below, and tap a selected band again to include all difficulties. See the full difficulty guide.
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AMC 8
AMC 10
- 2002 AMC 10A Problem 2
- 2002 AMC 10B Problem 2
- 2003 AMC 10A Problem 6
- 2004 AMC 10A Problem 2
- 2005 AMC 10A Problem 2
- 2005 AMC 10B Problem 4
- 2006 AMC 10A Problem 2
- 2006 AMC 10B Problem 2
- 2007 AMC 10A Problem 2
- 2007 AMC 10B Problem 2
- 2008 AMC 10B Problem 5
- 2010 AMC 10A Problem 6
- 2010 AMC 10B Problem 4
- 2011 AMC 10A Problem 3
- 2011 AMC 10B Problem 15
- 2013 AMC 10B Problem 14
- 2015 AMC 10B Problem 7
- 2016 AMC 10A Problem 23
- 2016 AMC 10B Problem 2
- 2022 AMC 10B Problem 1
AMC 12
- 1962 AMC 12 Problem 27
- 1968 AMC 12 Problem 4
- 1969 AMC 12 Problem 4
- 1970 AMC 12 Problem 13
- 1971 AMC 12 Problem 6
- 1973 AMC 12 Problem 5
- 1973 AMC 12 Problem 19
- 1974 AMC 12 Problem 6
- 1982 AMC 12 Problem 7
- 2006 AMC 12A Problem 2
- 2006 AMC 12B Problem 2
- 2008 AMC 12B Problem 7
- 2016 AMC 12A Problem 3
- 2016 AMC 12A Problem 20
- 2019 AMC 12A Problem 23
- 2022 AMC 12B Problem 1
- 2023 AMC 12B Problem 12
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